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Finding the Fourth Proportional to 596.94, 823.76 and 361.02

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Solution

The fourth proportional to 596.94, 823.76 and 361.02 is: 498.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    596.94 : 823.76 = 361.02 : x
  2. Step 2: Convert to fraction form
    596.94/823.76 = 361.02/x
  3. Step 3: Cross multiply
    596.94x = 823.76 × 361.02
  4. Step 4: Simplify right side
    596.94x = 297,387.91
  5. Step 5: Solve for x
    x = 297,387.91/596.94
  6. Step 6: Final answer
    x = 498.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.